Question

What is the average rate of change for ƒ(x) = 2x − 12 over the interval 4 ≤ x ≤ 8?

Answer 1

Answer:

Therefore, the average rate of change is 2.

Step-by-step explanation:

The  average rate of change  of for $f(x) = 2x - 12$ over the interval $4 \leq x \leq 8$ will be the slope of the  secant line  connecting the 2 points.

To calculate the average rate of change  of f(x) on the interval [a, b] is:

$\frac{f\left(b\right)-f\left(a\right)}{b-a}$

as

$f\left(4\right)\:=\:2\left(4\right)\:-\:12$

        $=-4$

$f\left(8\right)\:=\:2\left(8\right)\:-\:12$

        $=16-12$

        $=4$

The average rate of change between (4, -4) and (8, 4) will be:

 $\frac{f\left(b\right)-f\left(a\right)}{b-a}$

$=\frac{4-\left(-4\right)}{8-4}$

$=\frac{4+4}{8-4}$

$=\frac{8}{4}$

$=2$

Therefore, the average rate of change is 2.

Answer 2

Answer:

It is C.

Step-by-step explanation: